Homogenization of a system of semilinear diffusion-reaction equations in an H^{1,p} setting
In this article, homogenization of a system of semilinear multi-species diffusion-reaction equations is shown. The presence of highly nonlinear reaction rate terms on the right-hand side of the equations make the model difficult to analyze. We obtain some a-priori estimates of the solution which...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2013-09-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/210/abstr.html |
| Summary: | In this article, homogenization of a system of semilinear
multi-species diffusion-reaction equations is shown.
The presence of highly nonlinear reaction rate terms on the right-hand
side of the equations make the model difficult to analyze.
We obtain some a-priori estimates of the solution which give the strong
and two-scale convergences of the solution. We homogenize this system
of diffusion-reaction equations by passing to the limit using
two-scale convergence. |
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| ISSN: | 1072-6691 |